4 search results - page 1 / 1 » Construction of MDS self-dual codes over Galois rings |
85
Voted
DCC
2007
IEEE
16 years 1 months ago
2007
IEEE
The purpose of this paper is to construct nontrivial MDS self-dual codes over Galois rings. We consider a building-up construction of self-dual codes over Galois rings as a GF(q)-...
92
Voted
TIT
2008
15 years 1 months ago
2008
We construct new MDS or near-MDS self-dual codes over large finite fields. In particular we show that there exists a Euclidean self-dual MDS code of length n = q over GF(q) wheneve...
81
Voted
AAECC
2007
Springer
15 years 8 months ago
2007
Springer
The uniform distribution of the trace map lends itself very well to the construction of binary and non-binary codes from Galois fields and Galois rings. In this paper we study the...
122
Voted
JCT
2010
14 years 8 months ago
2010
Let Sm be the set of symmetric bilinear forms on an m-dimensional vector space over GF(q), where q is a power of two. A subset Y of Sm is called an (m, d)-set if the difference of...